First Derivative of (5/x)+(5/SQRT(x)): Homework Equations & Rules to Solve

[Government$]

Homework Statement

Find the first derivative of (5/x)+(5/SQRT(x))

Homework Equations

Derivative ruls

The Attempt at a Solution

Is this correct? Thank you

 

[arildno]

Yes.

 

[Government$]

Thank you

 

[Mark44]

Unless this problem requires the use of the quotient rule, it can be done much more simply using the power rule.

$$\frac{d}{dx}\left(\frac{5}{x} + \frac{5}{\sqrt{x}} \right)$$
= d/dx(5x^-1 + 5x^-1/2)
= -5x^-2 - (1/2)x^-3/2